Answer
63,273,600
Work Step by Step
By the sum rule we need to add the number of license plates of the first type and the number of license plates of the second type.
1) By the product rule there are 26 . 26 . 26. 10 · 10 · 10 = 17576000 license plates consisting of 3 Uppercase letters followed by 3 digits; and
2) There are 10 · 10 · 26 · 26 · 26 · 26 = 45,697,600 license plates consisting of 4 Uppercase letters followed by 2 digits.
Therefore the answer is 17,576,000 + 45,697,600 = 63,273,600